If the number of people employed rises by 180,000 and the number of people unemployed falls by 200,000 while the adult population stays the same, then the labor force participation rate rises.

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The labor force participation rate is calculated as the labor force divided by the adult population. The labor force is the sum of employed and unemployed individuals. If the number of employed rises by 180,000 and the number of unemployed falls by 200,000, the net change in the labor force is a decrease of 20,000. Since the adult population stays the same, a decrease in the labor force would lead to a decrease, or at best no change, in the labor force participation rate, not an increase.

If the Number of People Employed Rises by 180,000 and the Number